The refinement-schemes-based unified algorithms for certain \(n\)th order linear and nonlinear differential equations with a set of constraints

DOI10.1186/s13662-021-03283-2zbMath1494.65057OpenAlexW3164416706WikidataQ115241258 ScholiaQ115241258MaRDI QIDQ2166823

Syeda Tehmina Ejaz, Yu-Ming Chu, Ghulam Mustafa, Dumitru Baleanu

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03283-2

zbMATH Keywords

interpolationalgorithmboundary value problemsdifferential equationconstraintsrefinement schemes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Cites Work

• A subdivision based iterative collocation algorithm for nonlinear third-order boundary value problems
• The inverse of banded matrices
• Binary univariate dual and primal subdivision schemes
• Subdivision schemes based collocation algorithms for solution of fourth order boundary value problems
• Numerical solution of two-point boundary value problems by interpolating subdivision schemes
• A subdivision-based approach for singularly perturbed boundary value problem
• Solving two point boundary value problems by interpolatory subdivision algorithms
• An iterative scheme for solving nonlinear two point boundary value problems
• A SUBDIVISION COLLOCATION METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEMS OF ORDER THREE
• A unified interpolatory subdivision scheme for quadrilateral meshes

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